The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
Answer:
1.5 grams per millimeters cubed
Step-by-step explanation:
The formula for density is D=M÷V
Just divide 3 by 2 and you are done.
Answer:
the relation is not one-to-one.
Step-by-step explanation:
it can't because every number is in the 4th quadrant.
(93 mile/hour) x (5,280 feet/mile) x (1 hour / 3,600sec) = <em>136.4 feet/sec</em> .
Find x-intercept and y-intercept then you can draw the graph.
For example, the first question.
To find the y-intercept, x = 0
So substitute x = 0 in the equation.
[Note]: You don't need to find the y-intercept, because from, 
a is slope and b is y-intercept, you know b then you know y-intercept. For example b = 2 then y-intercept is at 2.
To find the x-intercept, y = 0
Therefore, y-intercept = 2 and x-intercept = 2/3
(Try do another problems, just do the same. When you want to find the y-intercept, just look at the value of b or substitute x = 0 and When you want to find the x-intercept, just substitute y = 0 then solve for x.)
